How to take the derivative using the chain rule in calculus

The video tutorial explains the process of expanding functions and the complexity involved. It discusses renaming functions for clarity and identifies the components of the chain rule, specifically the inside and outside functions. The tutorial then demonstrates how to calculate derivatives using the chain rule, emphasizing the importance of understanding the composition of functions.

What is the outside function identified in the example?

What is the expression for G of X in the given example?

Describe how to check if the function G of X is correctly plugged into the outside function.

Explain the process of finding the derivative of the composite function F of X.

What is the final expression for the derivative F prime of X as derived in the example?